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20120022110120 = 23517607332314669
BaseRepresentation
bin1001001001100100011101…
…10001010100111110101000
32122020110021221020102112112
410210302032301110332220
510114121301130010440
6110443002140301452
74144423622102162
oct444621661247650
978213257212475
1020120022110120
116457942a53889
12230b48a841888
13b2c404c3caca
144d7b584bb932
1524d57bc57965
hex124c8ec54fa8

20120022110120 has 128 divisors (see below), whose sum is σ = 48029683276800. Its totient is φ = 7559326765056.

The previous prime is 20120022110081. The next prime is 20120022110129. The reversal of 20120022110120 is 2101122002102.

It is a junction number, because it is equal to n+sod(n) for n = 20120022110095 and 20120022110104.

It is not an unprimeable number, because it can be changed into a prime (20120022110129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1371594146 + ... + 1371608814.

It is an arithmetic number, because the mean of its divisors is an integer number (375231900600).

Almost surely, 220120022110120 is an apocalyptic number.

20120022110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20120022110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24014841638400).

20120022110120 is an abundant number, since it is smaller than the sum of its proper divisors (27909661166680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20120022110120 is a wasteful number, since it uses less digits than its factorization.

20120022110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18627 (or 18623 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20120022110120 its reverse (2101122002102), we get a palindrome (22221144112222).

The spelling of 20120022110120 in words is "twenty trillion, one hundred twenty billion, twenty-two million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 607 680 1214 2428 3035 3323 4856 6070 6646 10319 12140 13292 14669 16615 20638 24280 26584 29338 33230 41276 51595 56491 58676 66460 73345 82552 103190 112982 117352 132920 146690 206380 225964 249373 282455 293380 412760 451928 498746 564910 586760 997492 1129820 1246865 1994984 2017061 2259640 2493730 4034122 4987460 8068244 8904083 9974920 10085305 16136488 17808166 20170610 34290037 35616332 40341220 44520415 48745087 68580074 71232664 80682440 89040830 97490174 137160148 151369411 171450185 178081660 194980348 243725435 274320296 302738822 342900370 356163320 389960696 487450870 605477644 685800740 756847055 828666479 974901740 1210955288 1371601480 1513694110 1657332958 1949803480 3027388220 3314665916 4143332395 6054776440 6629331832 8286664790 16573329580 29588267809 33146659160 59176535618 118353071236 147941339045 236706142472 295882678090 503000552753 591765356180 1006001105506 1183530712360 2012002211012 2515002763765 4024004422024 5030005527530 10060011055060 20120022110120